Directional isoperimetric inequalities and rational homotopy invariants

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dc.creatorGuth, Larry
dc.date2008-02-24
dc.date.accessioned2026-07-07T09:22:58Z
dc.date.available2026-07-07T09:22:58Z
dc.descriptionWe estimate the second order linking invariants of Lipschitz maps from an n-dimensional ellipse. The estimate uses a new directionally-dependent version of the isoperimetric inequality for cycles inside the ellipse. Using this work, we prove new lower bounds for the k-dilation of maps from one ellipse to another.
dc.description21 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0802.3549
dc.identifierhttp://arxiv.org/abs/0802.3549
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155568
dc.subjectDifferential Geometry
dc.subject53C23
dc.titleDirectional isoperimetric inequalities and rational homotopy invariants
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